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GCD of 452, 969, 728, 109 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 452, 969, 728, 109 quickly. Get the easiest ways to solve the greatest common divisor of 452, 969, 728, 109 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 969, 728, 109 with Factoring?

Given Input numbers are 452, 969, 728, 109

In the factoring method, we have to find the divisors of all numbers

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109


GCD of numbers is the greatest common divisor

So, the GCD (452, 969, 728, 109) = 1.

Find GCD of 452, 969, 728, 109 using Prime Factorization

Given numbers are 452, 969, 728, 109

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 969 are 3 x 17 x 19

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 452, 969, 728, 109 using LCM Formula

Given numbers are 452, 969, 728, 109

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(452, 969) = 437988

GCD(452, 969) = ( 452 x 969 ) / 437988

= 452 / 969

= 452


Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1


Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1


So, Greatest Common Divisor of 452, 969, 728, 109 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 969, 728, 109

Given numbers are 452, 969, 728, 109
The greatest common divisor of numbers 452, 969, 728, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 969, 728, 109 is 1.

FAQs on GCD of 452, 969, 728, 109 Calculator

1. What is the GCD of 452, 969, 728, 109?

GCD of given numbers 452, 969, 728, 109 is 1


2. How to calculate the greatest common divisor of 452, 969, 728, 109?

We can find the highest common divisor of 452, 969, 728, 109 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 452, 969, 728, 109 i.e 1.


3. How can I use the GCD of 452, 969, 728, 109Calculator?

Out the numbers 452, 969, 728, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.